100100100011 has 2 divisors, whose sum is σ = 100100100012. Its totient is φ = 100100100010.

The previous prime is 100100099987. The next prime is 100100100059. The reversal of 100100100011 is 110001001001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100100011 - 2²⁶ = 100032991147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100099968 and 100100100004.

It is not a weakly prime, because it can be changed into another prime (100100190011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050005 + 50050050006.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050006).

Almost surely, 2^100100100011 is an apocalyptic number.

100100100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100011 is an equidigital number, since it uses as much as digits as its factorization.

100100100011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100100011 its reverse (110001001001), we get a palindrome (210101101012).

The spelling of 100100100011 in words is "one hundred billion, one hundred million, one hundred thousand, eleven".